scientific article; zbMATH DE number 194328
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Publication:4692281
zbMath0727.12006MaRDI QIDQ4692281
D. K. Faddeev, V. V. Ishkhanov, B. B. Lur'e
Publication date: 5 June 1993
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Galois cohomologyGalois theorynormal extensionfinite solvable groupimbedding problemsnon- abelian kernelabelian kernelcorrect formulation and proof of Skopin's theoremexistence of field extensions with solvable Galois groupTheorem of NeukirchTheorem of Shafarevich
Separable extensions, Galois theory (12F10) Galois cohomology (12G05) Inverse Galois theory (12F12) Research exposition (monographs, survey articles) pertaining to field theory (12-02)
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Embedding of a universally consistent 2-extension in a universally consistent extension ⋮ Ultrasolvable and Sylow extensions with cyclic kernel ⋮ Compatibility condition. A possibility of reduction to commutative situation ⋮ On the ultrasolvability of \(p\)-extensions of an abelian group by a cyclic kernel ⋮ On the ultrasolvability of some classes of minimal nonsplit \(p\)-extensions with cyclic kernel for \(p > 2\) ⋮ On the embedding problem with noncommutative kernel of order \(p^4\). VI ⋮ Ultrasoluble coverings of some nilpotent groups by a cyclic group over number fields and related questions ⋮ Unnamed Item ⋮ About one Galois embedding problem ⋮ The embedding problem with kernel \(\mathrm{PSL}(2,p^2)\) ⋮ Ultrasolvable covering of the group \(\mathbb Z_2\) by the groups \(\mathbb Z_8\), \(\mathbb Z_{16}\), and \(\mathbb Q_8\) ⋮ Ultrasolvability and singularity in the embedding problem ⋮ Metacyclic 2-extensions with cyclic kernel and ultrasolvability questions ⋮ A bound for the Schur index of irreducible representations of finite groups ⋮ Examples of embedding problems the only solutions of which are fields
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